First slide

Motional EMF

Question

A rod of length 20 cm is rotating with angular speed of 100 rps in a magnetic field of strength 0.5 T about its one end. What is the potential difference between two ends of the rod?

Moderate

A

2.28 V
B

4.28 V
C

6.28 V
D

2.5 V

Solution

$e = \frac{1}{2} {Bl}^{2} ω = {Bl}^{2} πν$
$e = 0.5 {(20 \times 10^{- 2})}^{2} \times 3.14 \times 100 = 6.28 V$

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